(5 points) (a) Find (dy)/(dx). You may use the fact that (d)/(dx)cos^(-1)(x)=(-1)/(sqrt(1-x^(2))). y=ln((5x^(4))/(cos^(-1)(x))) (A hint: use log rules to make your life a little easier) (b) Use logarithmic differentiation to find (dy)/(dx) in terms of x : y=(e^(-x)cos(x)^(x))/(x^(2)+x+1) 1.5points aFind dy You may use the fact that a cos-1= dx da 5x4 y=ln (A hint: use log rules to make your life a little easier cos=1x (b) Use logarithmic differentiation to find dy in terms of x: dx
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Step 1: Use log rules to simplify the expression y=ln((5x^4)/(cos^(-1)(x))) y = ln(5x^4) - ln(cos^(-1)(x)) Show more…
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